Answer:
The 95% confidence interval [tex]0.57 < p <0.63[/tex]
The 90% confidence interval [tex]0.5748 < p <0.6252[/tex]
The 90% confidence interval has the smaller margin of error.
This makes sense because the 90% confidence interval is narrower and more precise(i.e a decreased error band ) than the 95% confidence interval
95% confidence interval is more likely to contain the true percentage
This is because 95% confidence interval signify's a higher confidence of containing the true percentage than the 90% confidence interval
Step-by-step explanation:
From the question we are told that
The sample size is n = 1019
The sample proportion is [tex]\r p = 0.60[/tex]
Given from the question that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = (100 - 95)\%[/tex]
[tex]\alpha = 0.05[/tex]
Generally the critical value of [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1 - \r p )}{n} }[/tex]
=> [tex]E = 1.96 * \sqrt{\frac{0.60 (1 - 0.60 )}{1019} }[/tex]
=> [tex]E = 0.030[/tex]
Generally the 95% confidence interval is mathematically represented as
[tex]\r p - E < p < \r p +E[/tex]
[tex]0.60 - 0.030 < p <0.60 + 0.030[/tex]
[tex]0.57 < p <0.63[/tex]
This interval means that there is 95% chance that the true percentage will be in this interval
Given from the question that the confidence level is 90% then the level of significance is mathematically represented as
[tex]\alpha = (100 - 90)\%[/tex]
[tex]\alpha = 0.10[/tex]
Generally the critical value of [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is
[tex]Z_{\frac{\alpha }{2} } = 1.645[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1 - \r p )}{n} }[/tex]
=> [tex]E = 1.645 * \sqrt{\frac{0.60 (1 - 0.60 )}{1019} }[/tex]
=> [tex]E = 0.0252[/tex]
Generally the 90% confidence interval is mathematically represented as
[tex]\r p - E < p < \r p +E[/tex]
[tex]0.60 - 0.0252 < p <0.60 + 0.0252[/tex]
[tex]0.5748 < p <0.6252[/tex]
This interval means that there is 90% chance that the true percentage will be in this interval
From the calculation the 90% confidence interval has the smaller margin of error.
This makes sense because the 90% confidence interval is narrower and more precise(i.e a decreased error band ) than the 95% confidence interval
Generally the confidence interval that is more likely to contain the true percentage of all American adults who have used the Internet to obtain medical information in the past month is the 95% confidence interval ,
This is because it signify's a higher chance of containing the true percentage than the 90% confidence
How many liters of pure water should be mixed with a 19L solution of 60% acid to produce a mixture that is 70% water?
14x + 7y = 21 solve for y
Two different linear functions are shown below with two points given from each function. Use slope-intercept form or point-slope form to find the equation of each.
Linear Function A
Points: (–5, –2), (–5, 7)
Linear Function B
Points: (7, –5), (–2, –5)
Function A has
✔ no slope
.
The equation of line A is
✔ x = -5
.
Function B has
✔ a slope of 0
.
The equation of line B is
✔ y = -5
.
here are the answersss
Answer:
Function A has
✔ no slope
.
The equation of line A is
✔ x = -5
.
Function B has
✔ a slope of 0
.
The equation of line B is y= -5
Step-by-step explanation:
i did the online assighnment
The true expressions about functions A and B from the options given are :
Function A has no slope Function B has a slope of 0Equation of line B is y = - 5Function A :
Points: (–5, –2), (–5, 7)
Slope = (7 - (-2)) ÷ (-5 - (-5)) = 9 ÷ 0 = 0
From :
y = bx + c b = slope ; c = interceptWe can obtain c, thus ;
-2 = 0(-5) + c
-2 = c
y = - 2
Function B :
Points:(7, –5), (–2, –5)
Slope = (-5 - (-5)) ÷ (-2 - 7) = 0 ÷ - 9= 0
From :
y = bx + cb = slope ; c = intercept
We can obtain c, thus ;
-5 = 0(7) + c
-5 = c
y = -5
Learn more :https://brainly.com/question/18405415
A college basketball team wants to score at least 1500 points by the end of the season. So far, they have scored 374 points. They will score the same amount of points for each of the remaining 15 games.
Answer:
will it be 5,610
Step-by-step explanation:
i think its my answer because its x right so i multiplied
1. Solve, 2x-4=10.
Pls solve now
Answer:
x=7
Step-by-step explanation:
Answer:
x=7
Step-by-step explanation:
2x-4=10
+10 +10
2x 14
2x/2 2/14
x = 7
(−6)÷(−32)=Answer
plz help !!!!!!!!!!! will mark brainlest
Answer:
3/16
Step-by-step explanation:
(−6)÷(−32)
-6/-32
cut the minus from numerator and denominator you will get,
6/32
3/16
0.1875(if u want it in decimal form)
hope it helps you!
Answer:
the answer is 0.1875
20 POINTS HELPPP PLEASE !!! Given the density of iron is 7.9 g/cm3, what would be the volume of a 3.56g piece of iron? PLEASE SHOW WORK!
Answer:
The answer is 0.45 cm³Step-by-step explanation:
The volume of a substance when given the density and mass can be found by using the formula
[tex]volume = \frac{mass}{density} \\[/tex]
From the question
mass of iron = 3.56 g
density = 7.9 g/cm³
The volume is
[tex]volume = \frac{3.56}{7.9} \\ = 0.45063291...[/tex]
We have the final answer as
0.45 cm³Hope this helps you
6 + 0.10x = 0.15x + 8 whys the answer
Answer:
x=-40
Step-by-step explanation:
1)Moe variable to the left hand side and change its sign 0.1x-0.15x=8-6
2)collect like terms 0.05x=2
3)Divide both sides by "-0.05"
4) x=-40
Answer:
-40
Step-by-step explanation:
6 + 0.10x = 0.15x + 8
0.10x-0.15x=8-6
-0.05x=2
x=2/-0.05
to remove the decimal point, multiply 100 in the numerator and in the denominator since in the denominator , there are two digits after the decimal point
therefore, x=2×100/-0.05×100
x=200/-5
x=-40
hope it helps you
Carlo is building a wooden box that is shaped like a cube. He wants the box to have a volume of 64 cubic inches.What is the area of one face of the box?
Explanation:
Apply the cube root to 64 to get [tex]\sqrt[3]{64} = 64^{1/3} = 4[/tex]
The exponent 1/3 is handy if your calculator doesn't have a cube root button.
This wooden cube has side lengths of 4 inches each.
Each square face will have an area of 4^2 = 4*4 = 16 square inches.
HELP ME PLEASE!
1.(-4i)^3 x 2i
2.(2i)^5 x (i√6)^2
3.x^2 + 4=0
4.-3x^2=150
5.2x^2+71=-163
6.18-x^2=39
Answer:
1. -128
2. -192i
3. no solution
4. no solution
5. no solution
6. no solution
Step-by-step explanation:
what is 2 5/6 + 3 I need the show work
Answer:
5 5/6
Step-by-step explanation:
Make 2 5/6 into an improper fraction = 17/6 now add 3
3/1 + 17/6
make the denominators the same
3 x 6 is 18 so 18/6 +17/6 = 35/6
now make it a mixed number
5 5/6
the coeffiecient for 6m + 7 is
m
Answer:
The coefficient of 6m is 6
Step-by-step explanation:
Which equation is an identity?
a. 11-(2v+3)=2v-8
b. 5w+8-w=6w-2(w-4)
c. 7m-2=8m+4-m
d. 8y+9=8y-3
The width of a rectangle is 7 units less than the length. the area of the rectangle is 18 units. what is the length of the rectangle
Romeo paid $380.75 in car repairs. The sales tax rate is 7.5%. Which of the following is a reasonable estimate for the total Romeo paid to repair his car?
Answer:
$354.19
Step-by-step explanation:
The total payment was $380.75 plus 7.5% of that, which can be represented by
(1 + 0.075)r = $380.75, where r is the repair bill before taxes. Then:
1.075r = $380.75, and r = $354.19 (rounded to the nearest cent)
Answer:
the correct answer is actually $410.00
Aaron solved an inequality and then graphed the solution as shown
Answer:
The answer is A
Step-by-step explanation:
Trust me bro
The inequality equation is mathematically given as |x + 2| < 3. Then the correct option is A.
What is inequality?Inequality is simply a type of equation that does not have an equal sign in it. Inequality is defined as a statement about the relative size as well as is used to compare two statements.
The value of x is greater than negative five and less than one that can be represented as
-5 < x < 1
Add 2 on each side, then we have
-3 < x + 2 < 3
Then operate the mode function, then we have
|x + 2| < 3
More about the inequality link is given below.
https://brainly.com/question/19491153
solve.......-2x plus 11 plus 6x
Answer: 4x+11
Step-by-step explanation:
-2x plus 11 plus 6x
add -2x and 6x
then we get 4x
then we add the extra 11 to the end
equaling 4x+11
Answer:
4x+11
Step-by-step explanation:
URGENT Factor completely 169x2 − 64.
Answer:
(13x + 8)(13x - 8)Step-by-step explanation:
Use of formula a² - b² = (a + b)(a - b)
169x² − 64=(13x)² - 8² =(13x + 8)(13x - 8)Answer: (13x + 8)(13x - 8)
Proof of validity is shown below.
Explain what happens to the decimal point each time we multiply a decimal number by 10?
Answer: the decimal will move over to the right one place.
Step-by-step explanation:
When you multiply a decimal, then you are adding a tens place to it, so any decimal you multiply by ten, the decimal will move to the right one place. For example: 2.05 multiplied by 10 equals 20.5.
What’s the verbal expression of 7-y
Answer:
Seven subtracted by a number
Step-by-step explanation:
A verbal expression is a mathematical statement that is expressed in words.
5. The table below represents fees for a parkirls lot. Graph the
function. What are the domain and range of the function?
What are the maximum and minimum values?
Time
3
6
9 Kts 12h
0
$10
Cost
$15
$20
$25
Answer:
15$
Step-by-step explanation:
simplify the following. (7+5i)^2−(3+2i)=
Answer:
hope that will help you
What is the value of p?
A) 55
B) 45
C) 35
D) 125
Answer:
35
Step-by-step explanation:
just subtract 125 and 99
Solve for b.
3-2(b - 2) = 2 - 7b
Answer:
b = -1
Step-by-step explanation:
use distributive property to multiply the -2 with the numbers in the parentheses
3 - 2b + 4 = 2 - 7b
7 - 2b = 2 - 7b
add 2b to both sides
7 = 2- 5b
subtract 2 from both sides
5 = -5b
divide by -5
b = -1
The solution for b is -1.
Let's solve the equation step by step to isolate the variable b:
3 - 2(b - 2) = 2 - 7b
First, simplify the expression inside the parentheses:
3 - 2b + 4 = 2 - 7b
Combine like terms:
7 - 2b = 2 - 7b
Next, let's isolate the terms with b on one side. We can do this by adding 7b to both sides:
7 - 2b + 7b = 2 - 7b + 7b
Simplifying:
7 - 2b + 7b = 2
Combine like terms:
7 + 5b = 2
Now, let's isolate the term with b by subtracting 7 from both sides:
7 + 5b - 7 = 2 - 7
Simplifying:
5b = -5
Finally, solve for b by dividing both sides by 5:
(5b) / 5 = (-5) / 5
Simplifying:
b = -1
To know more about solution here
https://brainly.com/question/1616939
#SPJ6
I will give brainliest
4e+5=6e-15
Show work please
Answer:
e=10
Step-by-step explanation:
4e+5=6e−15
Step 1: Subtract 6e from both sides.
4e+5−6e=6e−15−6e
−2e+5=−15
Step 2: Subtract 5 from both sides.
−2e+5−5=−15−5
−2e=−20
Step 3: Divide both sides by -2.
−2e
−2
=
−20
−2
e=10
Can someone help me with 1 and 2. Please show steps
Answer:
Step-by-step explanation:
question 1. 13) 1/2 ( 4a + 12) =
(13(1/2) ) (4a) + (13(1/2) ) (12) = 26a+78
question 2. (14)(4)b2+3.5−2a+3.5b2−a
=56b2+3.5+−2a+3.5b2+−a
Combine Like Terms:
=56b2+3.5+−2a+3.5b2+−a
=(56b2+3.5b2)+(−2a+−a)+(3.5)
=59.5b2+−3a+3.5
How many solutions does the equation 1.45x = 0 have?
Answer:
x = 0
Step-by-step explanation:
1.45x = 0
1.45x/1.45 = 0/1.45
x = 0
Best of Luck!
1+1=2+3+4=9 it’s 9 have a good day
Answer:
U too
Step-by-step explanation:
;)
Answer:
ok
Step-by-step explanation:
Need Help
Pies are $3.50 each.
Sauce is an extra 45c.
How much is 4 pies and 2 pies with sauce?
Answer:
$ 14.9
Step-by-step explanation:
we can create an equation
use variables:
pies = p
sauce = s
3.5p + 0.45s
3.5 (4) + 0.45(2)
= $ 14.9
Self each equation mentally find x
Answer:
11, 1/2, 1/16, 5, 5/2
Step-by-step explanation:
to find x divide the right of the = by x's coefficient
